In a new system of units, unit of Mass is taken as 50 gm, unit of length is taken as 100m, unit of time is taken as 1minute. What will be the weight of a body in this system of SI system, it's weight is 20N
Answers
Answer:
Given that Mass (M) = 50 gm = 0.05 Kg , Length (L) = 100 m , and Time(T)
= 1 minute = 60 seconds
Having in mind that W = Mass x Gravity , we have ;
W = (0.05 kg).(100 m)
(60 s)^2
W = 1.39 x 10^-3 Kg ms^-2
Explanation:
Since the S.I unit of Gravity is ms^-2, Length is compatible to deal with
Time^2
However, F = ma which simply means;
N = Kg ms^-2
Hope it Helps!
Answer:
Let the weight of the body in new system be x units
=> 10N = x units
Let M1, L1 and T1 and M2, L2 and T2 be the symbols of mass, length and time in two system respectively then,
10[M1L1T-2] = x[MLT-2]
=> x = 10x [ (M1/M2) (L1/L2) (T1/T2)-2 ]
= 10x (1/50)*(1/100)*(1/60)-2
=> x = 36000/5000 = 7.2units
So, 10N = 7.2units